Liang-Chung Hsia

collaborators

3 papers

math.NT2023

Conflict-Avoiding Codes of Prime Lengths and Cyclotomic Numbers

Liang-Chung Hsia, Hua-Chieh Li, Wei-Liang Sun

The problem to construct optimal conflict-avoiding codes of even lengths and the Hamming weight $3$ is completely settled. On the contrary, it is still open for odd lengths. It tur…

math.NT2016

Greatest common divisors of iterates of polynomials

Liang-Chung Hsia, Thomas J. Tucker

Following work of Bugeaud, Corvaja, and Zannier for integers, Ailon and Rudnick prove that for any multiplicatively independent polynomials, $a, b \in C [x]$ , there is a p…

math.DS2016

Simultaneously preperiodic points for families of polynomials in normal form

Dragos Ghioca, Liang-Chung Hsia, Khoa Dang Nguyen

Let $d > m > 1$ be integers, let $c_{1}, \dots, c_{m + 1}$ be distinct complex numbers, and let $f (z) := z^{d} + t_{1} z^{m - 1} + t_{2} z^{m - 2} + \dots + t_{m - 1} z + t_{m}$ be an $m$ -parameter family o…